Question

The function f(x) = 6x + 6 represents the amount of money Kristine earns making custom t-shirts. The function g(x) = x − 1 represents her upfront costs. Find (f – g)(4) to determine how much profit she will make from four t-shirts.

$27
$10
$30
$33

Answer 1

27 bucks

Explanation:

Answer 2

The profit Kristine will make from four t-shirts is $27

Explanation:

Given that the function
`f(x)=6x+6` and
`g(x)=x-1`.

To determine how much profit Kristine will make from four t-shirts is to find
`(f-g)(4)`

Assign the function
`f=6x+6` in
`(f-g)(4)`

`(f-g)(4)=(6x+6-g(x))(4)`

Now, assign the function
`g=x-1` in
`(f-g)(4)`

`(f-g)(4)=(6x+6-(x-1)(4)`

Simplifying the above equation, we get,

`\begin{aligned}(f-g)(4) &=(6 x+6-x+1)(4) \\&=(5 x+7)(4)\end{aligned}`

Now, Substitute
`x=4` , we get,

`\begin{aligned}(f-g)(4) &=(5(4)+7) \\&=20+7 \\&=27\end{aligned}`

Thus, the value of
`(f-g)(4)` is 27.

Hence, the profit Kristine will make from four t-shirts is $27.